Number Theory 1

Welcome!
Our Teaching Page
has useful information for students in all of my classes.
It has my schedule,
LOR guidelines,
and Usually Useful Pamphlets.
One of them is the
Checklist (pdf)
which gives pointers on what I consider to be good mathematical
writing.
Further information is at our
class-archive URL(I email this private URL directly to students).

The delightful
Home-A
now has solns.
It was followed by the cute
Class-A (pdf)[in which Sieve-Brain meant to state EFT, but instead
only stated a special case],
which now has solns.

By Monday, 09July,
please read the
Ring basics,
which has the defns of Group, RingField,
as well as zero-divisor, unit, and the especially important
notion of irreducible and prime elements.

In pamphlet
Multiplicative Functions (pdf)
you need to know defns of the divisor-count, divisor-sum and Euler-phi fncs, and formulas for them.
But you may ignore
(and probably should)
the rest of the material, for the time being.

By Thursday, 05July,
please have fully-understood (grokked)Algorithms in Number Theory (pdf).
It uses LBolt iteratively to compute the GCD of a list of integers,
together with a Bézout-list.
Page 2 uses LBolt to solve linear congruences, e.g:
Find all x where 33x is mod-114 congruent to 18.

In all of my courses,
attendance is absolutely required
(excepting illness and religious holidays).
In the unfortunate event that you miss a class, you are
responsible to get all
Notes / Announcements / TheWholeNineYards
from a classmate, or several.
All my classes have a
substantial
class-participation grade.